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3 years ago

Classify this triangle

Mathematics

2 answers:

GaryK [48]3 years ago

6 0

Answer:

Right, isosceles

Step-by-step explanation:

Right: it has a 90° angle

Isosceles: two sides of equal lengths

diamong [38]3 years ago

4 0

It’s (C) a right isosceles

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If the dimensions of a rectangular prism are 3 cm , 4 cm, and 10 cm, then it’s surface area is

Scrat [10]

Answer:

As Per Provided Information

Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .

We have been asked to determine it's surface area.

$\underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}$

where,

w denote width

h denote height

l denote length

$\longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2}$

Therefore,

Surface area of rectangular prism is 164 cm².

3 0

2 years ago

Read 2 more answers

Help me answer this, please!

horrorfan [7]

Answer: see attachments

Step-by-step explanation:

4 0

3 years ago

(need some help!!) explain why the lowest possible domain value for a linear model of this data must begin at x = 6

ra1l [238]

Hello!

To first understand this question, we have to know what a domain is, and what it means to be linear.

The domain is all the possible x values.

Currently, in this graph, it starts at 0, and goes to some point further on.

To be linear means that you have linear growth, which this does not. This has a bend in it, which is not linear.

So, you must restrict the domain such that you only have a linear section.

If you look at the graph as a whole, it makes a bend. But, if you only look at x value 6 and up, it seems quite straight.

So, this makes sense!

Hope this helps, feel free to ask questions in comments.

-Jeron

7 0

2 years ago

Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student

AysviL [449]

Answer:

The mean calculated for this case is $\bar X=584$

And the 95% confidence interval is given by:

$584-2.776\frac{86.776}{\sqrt{5}}=476.271$

$584+2.776\frac{86.776}{\sqrt{5}}=691.729$

So on this case the 95% confidence interval would be given by (476.271;691.729)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=584$

The sample deviation calculated $s=86.776$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that $t_{\alpha/2}=2.776$